In quantum mechanics, it's (roughly) the wave function: [$]|\psi(x)|^2 dx = p(x) \, dx[$], where [$]p(x)[$] is a pdf.square root of probability any interpretation?
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Re: Philosophy of Mathematics
Re: Philosophy of Mathematics
unfortunately these probabilities are not satisfactory, not even according to Prince Louis-Victor Pierre Raymond de Broglie :In quantum mechanics, it's (roughly) the wave function: [$]|\psi(x)|^2 dx = p(x) \, dx[$], where [$]p(x)[$] is a pdf.square root of probability any interpretation?
He lived long and kept a sharp mind, the French wine?
Re: Philosophy of Mathematics
Probability is just a number, the units cancel out: two beans red out of ten beans total means 20% probability of picking a red bean.
But there's no beans about the 20%.
So the square root of probability is just a number, too.
But there's no beans about the 20%.
So the square root of probability is just a number, too.
Re: Philosophy of Mathematics
If you know that the probability of the joint occurrence of two iid random variables is p, then [$] \sqrt{p} [$] is the probability of the occurrence of each.
Re: Philosophy of Mathematics
Found this book in a university ghost town a few days ago - empty streets, but plenty of coffee and books available in the stores that were open.
Synthetic Philosophy of Contemporary Mathematics - Fernando Zalamea
From one of the reviews: "Three different approaches to Mathematics are outlined, which the author calls eidal (transfusions of form: very much pure Mathematics, including mathematics of mathematics), quiddital (transfusions of the real, mathematics based in physics), and archaeal (decantations of the Universal)."
So far, reminiscent of Badiou. If you read and enjoyed The Blank Swan (Elie Ayache), this is worth a look.
Synthetic Philosophy of Contemporary Mathematics - Fernando Zalamea
From one of the reviews: "Three different approaches to Mathematics are outlined, which the author calls eidal (transfusions of form: very much pure Mathematics, including mathematics of mathematics), quiddital (transfusions of the real, mathematics based in physics), and archaeal (decantations of the Universal)."
So far, reminiscent of Badiou. If you read and enjoyed The Blank Swan (Elie Ayache), this is worth a look.
Re: Philosophy of Mathematics
Also second year courses at Hogwarts, if I'm not mistaken ..."eidal ... quiddital ... and archaeal."